Question

A helicopter is flying horizontally with a speed ' $v$ ' at an altitude '$h$ ' has to drop a food packet for a man on the ground. What is the distance of helicopter from the man when the food packet is dropped?

• A. $\sqrt{\frac{2 g h v^{2}+1}{h^{2}}}$
• B. $\sqrt{2 ghv ^{2}+ h ^{2}}$
• C. $\sqrt{\frac{2 v ^{2} h }{ g }+ h ^{2}}$
• D. $\sqrt{\frac{2 gh }{ v ^{2}}}+ h ^{2}$

Answer 1

Answer: (C)

$R =\sqrt{\frac{2 h }{ g } \cdot v }$
$D =\sqrt{ R ^{2}+ h ^{2}}$
$=\sqrt{\left(\sqrt{\frac{2 h }{ g }} \cdot v \right)^{2}+ h ^{2}}$
$D =\sqrt{\frac{2 hv ^{2}}{ g }+ h ^{2}}$